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15 Feb 2020, 05:36
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
79% (01:16) correct
21%
(01:45)
wrong
based on 19
sessions
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For three years, Karla has saved part of her annual income. If she saved 10% more the third year than the second year, what percent did she save during the third year?
(1) Karla earned 15% more each year.
(2) Karla spent 90% of her income the first year.
(1) Karla earned 15% more each year.
(2) Karla spent 90% of her income the first year.
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18 Feb 2020, 06:51
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rheam25
For three years, Karla has saved part of her annual income. If she saved 10% more the third year than the second year, what percent did she save during the third year?
(1) Karla earned 15% more each year.
(2) Karla spent 90% of her income the first year.
(1) Karla earned 15% more each year.
(2) Karla spent 90% of her income the first year.
Solution
Step 1: Analyse Question Stem
- • Let us assume that Karla saved x% of her annual income in second year.
- o So, Karla saved \(1.1*x\) % of her annual income in the third year.
Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE
Statement 1: Karla earned 15% more each year.
- • This statement provides no information about the savings.
Statement 2: Karla spent 90% of her income the first year.
- • Savings % of karla in first year = 10% of her annual income in first year
Hence, statement 2 is also not sufficient and we can eliminate answer B.
Step 3: Analyse Statements by combining.
- • From statement 1:
- o Let us assume that the Karla’s income in first year is I.
- So, Karla’s income in third year = \(I*1.15*1.15 \)
- o Karla’s saving in first year = 10% of her annual income in first year
Thus, the correct answer is Option E.
BhishmaNaidu99
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19 Feb 2020, 00:01
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IMO E ,
Given that she save 10% more during the third year than the second year ,
so we must know the second year saving in order to know the third year savings exactly.
Statement 1 :
She earns 15% each year,
So if 1st year = I , 2nd Year = 1.15*I , 3rd year = 1.15*1.15*I ,
so only the total income she earns she earns in terms of 1st year is known here, nothing about the spending or saving is given here . So Insufficient.
Statement 2:-
Her spending in first year is given , this can be no way related to how much she saved in the second year.
so Insufficient.
1+2 :
After combining the statements also we dont the savings of her second year, Insufficient
So option E.
Given that she save 10% more during the third year than the second year ,
so we must know the second year saving in order to know the third year savings exactly.
Statement 1 :
She earns 15% each year,
So if 1st year = I , 2nd Year = 1.15*I , 3rd year = 1.15*1.15*I ,
so only the total income she earns she earns in terms of 1st year is known here, nothing about the spending or saving is given here . So Insufficient.
Statement 2:-
Her spending in first year is given , this can be no way related to how much she saved in the second year.
so Insufficient.
1+2 :
After combining the statements also we dont the savings of her second year, Insufficient
So option E.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
